My name does have a correct spelling, but it's an ethnic spelling (silent letter). I dreaded the first day of school, and even at doctor appointments, I can tell it's my turn, when the nurse hesistates, before calling me Mrs. ****. Most of my kids have very common names, no change to be mispronounced, and even my unique named dd has a name easily pronounced. I actually spell my name phonetically a lot, so that people won't be confused.
I have one, too, and I married one as well (that one is German as opposed to Irish, but still...) I don't have a problem with spelling for people. My mother used to spell phonetically at businesses, but I hated that, because they never "got" that she was just doing that to show them how to pronounce it, and I was always having to fight to have records corrected because they thought that the phonetic spelling was the real one.
DD has an ethnic Irish name, and I did not choose it. DH did, though he isn't an Irish speaker. It's a very common name in Ireland, but uncommon in the US; my MIL got all huffy about that. DD will be dealing for years with people who mistake it for another more common name, but since she'll be spelling her surname all her life anyway, I figured that one more wouldn't matter.
I DID have a lot of fun pretending to lobby DH to name her Caiomhe, though.
It doesn't go with his surname at all, but it has the most difficult spelling of all the feminine Irish names. (For those who've never heard it pronounced, that's KEE-VA, or sometimes KWEE-VA, depending on where in Ireland you are.)
Emmet is a popular name for boys in Ireland, after Robert Emmet the Irish patriot martyr. It has political connotations, though; it marks a child as coming from a republican family, just as Saoirse will for a girl.